Anomalous diffusion induced by a Mittag-Leffler correlated noise

Viñales, Angel Daniel; Desposito, Marcelo Arnaldo

info:eu-repo/semantics/article

Fecha

2007-04

Registro en:

Viñales, Angel Daniel; Desposito, Marcelo Arnaldo; Anomalous diffusion induced by a Mittag-Leffler correlated noise; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 75; 4; 4-2007; 1-4

1539-3755

http://hdl.handle.net/11336/71278

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4400393

Autor

Viñales, Angel Daniel

Desposito, Marcelo Arnaldo

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We introduce a Mittag-Leffler correlated random force leading to anomalous diffusion. Starting from a generalized Langevin equation, and using Laplace analysis we derive exact expressions for the mean values, variances and diffusion coefficient for a free particle in terms of generalized Mittag-Leffler functions and its derivatives. The asymptotic behavior of these quantities are obtained, from which the anomalous diffusion behavior of the particle is displayed. © 2007 The American Physical Society.

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